I have 3 beagles at the moment. I've never had to train them. I guess if you want to make sure they only run one kind of game you might have to condition them.
We were members of a dog hunting club for years. I interact with my dogs and they seemed to know if it was time to run deer or if they could just have fun and track things. They seem to do better with a pal, they are pack oriented.
Some hunters think if you interact with or feed your dogs they won't hunt but their dogs didn't seem to know what to do when they were put on a blood trail. Ours knew just what was expected and found people's deer even in places they didn't think they went to.
You might be able to find someone with a puppy pen where they can trail rabbits.
I have the Garmin Astro 320 to keep an eye on my babies. We don't belong to a club anymore but they will find every mole, squirrel, possum or snake in the yard.